Is it D?
Statement 1: (X) (x-4) +3 y > 0 . So if y>0 and x>4 then the eq is always >0
Statement 2: 3x-4 = -1 => x^2 > -1. X^2 will always be positive number so this is true as well.
BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Featured Course
Target Test Prep GMAT OnDemand
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
- 715+ score guarantee — highest in the industry (99th percentile)
- 52 chapters · 1,500+ lessons · 4,000+ practice questions
- 400 hours of video · 1,500+ instructor-led HD smartboard lessons
- 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
- 24/7 live support + weekly Zoom office hours with GMAT instructors
- TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
- 1,200+ flashcards + AI-powered study assistant & daily calendar
- OnDemand, LiveTeach & GMAT Bootcamp formats available
- Also: GRE, SAT Math & Executive Assessment courses
- MBA Admissions Consulting now available
- 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
- 200,000+ students served
- 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★
5.0
(559 reviews)
130-pt guarantee
$0 to start
then $127/mo
data suff help needed
Source: Beat The GMAT — Data Sufficiency |
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Location: New York, NY
- Thanked: 13060 times
- GMAT Score:790
I posted a solution to a very similar problem here:
https://www.beatthegmat.com/ds-t122391.html#502642
https://www.beatthegmat.com/ds-t122391.html#502642
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
GMAT/MBA Expert
-
Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Location: Vancouver, BC
- Thanked: 5254 times
- GMAT Score:770
Target question: Is x^2 > 4x - 3y?himu wrote:Is x^2 > 4x - 3y?
(1) y > 0 and x > 4
(2) 4x - 3y = -1
Statement 1: y > 0 and x > 4
To determine whether or not this statement is sufficient, it may be useful to first rephrase the target question.
First move all all terms to one side to get: Is x^2 - 4x + 3y > 0?
Factor the first 2 terms to get: Is x(x-4) + 3y > 0?
At this point, we'll use the given information.
If y>0, then 3y>0 (in other words 3y is positive)
If x>4, then (x-4)>0 and x>0 (in other words, x-4 and x are both positive)
If 3y, x-4 and x are all positive, then x(x-4) + 3y must be greater than 0
So, statement 1 is SUFFICIENT
Statement 2: 4x - 3y = -1
This one is a little more straightforward.
Here, we'll use the original target question: Is x^2 > 4x - 3y?
If 4x - 3y = -1, we'll replace take the target question and replace 4x - 3y with -1 to get: Is x^2 > -1
Since x^2 must be greater than or equal to zero, it must be the case that x^2 > -1
As such, statement 2 is SUFFICIENT, and the answer is D
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
